Respuesta :

Answer: 26 feet.

Step-by-step explanation:he

The exercise is not written clearly. Assuming that it asks to find the amount of lumber (in feet) John needs for 3 shelves, let "x" represents that amount of lumber in feet.

Based on the data provided, you know that one shelf requires [tex]8\frac{2}{3}[/tex] feet of lumber.

You can convert the Mixed number to Decimal number applying these steps:

1. You must divide the numerator of the fraction by the denominator.

2. You must add the result obtained to the Whole number part.

Then you get:

[tex]8\frac{2}{3}=8+0.6667=8.6667[/tex]

Knowing this, you can set up the following proportion:

[tex]\frac{8.6667}{1}=\frac{x}{3}[/tex]

Finally, you must solve for "x" in order to find its value. This is:

[tex](3)(8.6667)=x\\\\x=26.0[/tex]